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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sun, 30 Nov 2008 06:22:54 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Nov/30/t12280514960h1m0zhb6oii4wi.htm/, Retrieved Sun, 19 May 2024 10:47:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=26498, Retrieved Sun, 19 May 2024 10:47:16 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

197

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
-    D  [Univariate Data Series] [Non Stationary Ti...] [2008-11-30 09:45:17] [b82ef11dce0545f3fd4676ec3ebed828]
- RMP     [Standard Deviation-Mean Plot] [Non Stationary Ti...] [2008-11-30 10:32:49] [b82ef11dce0545f3fd4676ec3ebed828]
-   PD        [Standard Deviation-Mean Plot] [Non Stationary Ti...] [2008-11-30 13:22:54] [4b953869c7238aca4b6e0cfb0c5cddd6] [Current]
-    D          [Standard Deviation-Mean Plot] [Non Stationary Ti...] [2008-11-30 13:27:09] [b82ef11dce0545f3fd4676ec3ebed828] 
F RM D          [Cross Correlation Function] [Non Stationary Ti...] [2008-11-30 13:40:30] [b82ef11dce0545f3fd4676ec3ebed828] 
-   P             [Cross Correlation Function] [Non Stationary Ti...] [2008-12-05 17:18:17] [b82ef11dce0545f3fd4676ec3ebed828] 

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Dataseries X:

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26498&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26498&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26498&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	99.95	7.26955044252144	24.3
2	102.55	8.27411077342509	26.7
3	101.4	9.16653994402766	33
4	106.041666666667	9.48917644988066	31.1
5	108.966666666667	8.42640151097979	29.9

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 99.95 & 7.26955044252144 & 24.3 \tabularnewline
2 & 102.55 & 8.27411077342509 & 26.7 \tabularnewline
3 & 101.4 & 9.16653994402766 & 33 \tabularnewline
4 & 106.041666666667 & 9.48917644988066 & 31.1 \tabularnewline
5 & 108.966666666667 & 8.42640151097979 & 29.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26498&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]99.95[/C][C]7.26955044252144[/C][C]24.3[/C][/ROW]
[ROW][C]2[/C][C]102.55[/C][C]8.27411077342509[/C][C]26.7[/C][/ROW]
[ROW][C]3[/C][C]101.4[/C][C]9.16653994402766[/C][C]33[/C][/ROW]
[ROW][C]4[/C][C]106.041666666667[/C][C]9.48917644988066[/C][C]31.1[/C][/ROW]
[ROW][C]5[/C][C]108.966666666667[/C][C]8.42640151097979[/C][C]29.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26498&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26498&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	99.95	7.26955044252144	24.3
2	102.55	8.27411077342509	26.7
3	101.4	9.16653994402766	33
4	106.041666666667	9.48917644988066	31.1
5	108.966666666667	8.42640151097979	29.9

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-1.60843366685685
beta	0.097643348931479
S.D.	0.123797838387940
T-STAT	0.788732260619112
p-value	0.487853165292207

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1.60843366685685 \tabularnewline
beta & 0.097643348931479 \tabularnewline
S.D. & 0.123797838387940 \tabularnewline
T-STAT & 0.788732260619112 \tabularnewline
p-value & 0.487853165292207 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26498&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.60843366685685[/C][/ROW]
[ROW][C]beta[/C][C]0.097643348931479[/C][/ROW]
[ROW][C]S.D.[/C][C]0.123797838387940[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.788732260619112[/C][/ROW]
[ROW][C]p-value[/C][C]0.487853165292207[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26498&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26498&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-1.60843366685685
beta	0.097643348931479
S.D.	0.123797838387940
T-STAT	0.788732260619112
p-value	0.487853165292207

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.87535127649888
beta	1.29564848100560
S.D.	1.53240951828272
T-STAT	0.845497541973999
p-value	0.459934249914382
Lambda	-0.295648481005603

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.87535127649888 \tabularnewline
beta & 1.29564848100560 \tabularnewline
S.D. & 1.53240951828272 \tabularnewline
T-STAT & 0.845497541973999 \tabularnewline
p-value & 0.459934249914382 \tabularnewline
Lambda & -0.295648481005603 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26498&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.87535127649888[/C][/ROW]
[ROW][C]beta[/C][C]1.29564848100560[/C][/ROW]
[ROW][C]S.D.[/C][C]1.53240951828272[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.845497541973999[/C][/ROW]
[ROW][C]p-value[/C][C]0.459934249914382[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.295648481005603[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26498&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26498&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.87535127649888
beta	1.29564848100560
S.D.	1.53240951828272
T-STAT	0.845497541973999
p-value	0.459934249914382
Lambda	-0.295648481005603

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 12 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code